Example Math Expression How to Enter the Answer 2 2 uilw -3/5 OO infinity 28 + 1 2^8+1 2+ es 2+exp (5) 5 TL 9 5 * pi / 9 3 In 2 4/7-3*In (2) V2 sqrt (2) 5^ (1/3 ) V5 - e 3 + 2 In(7n) sqrt (5-exp (-3) +2*In (7*pi) ) 5! fac (5)Answer Format Unless otherwise noted, enter answers as: - Whole Numbers - Exact Fractions (e.g., 2/3 or -5/4) or (only when necessary): - Decimals correct to six decimal places The use of decimal numbers is discouraged because decimal numbers are subject to rounding errors, which could cost you marks! Topics: Sections 5.5, 6.1, 6.2, 6.4, 6.5, and 7.1 in the textbook. Problem #1: Evaluate the following integrals. (4x + 1) 7/2 dx (b) 3 Vx Enter your answer as a symbolic Problem # 1(a): function of x, as in these do not include '+ C' in your answer examples Enter your answer as a symbolic Problem #1(h): function of x, as in these do not include '+ C' in your answer examples Just Save Submit Problem # 1 for Grading Problem #1 |Attempt #1 Attempt #2 Attempt # 3 Your Answer: |1(a) 1(a 1(a 1 (b) 1 (b) 1 ( b ) Your Mark: |1(a) 1(a) 1 ( b ) 1(a 1 ( b ) 1 ( b ) Problem #2: Evaluate the following integrals. (a) ( b ) Jo cos(x) V1 + 6 sin(x) dx ( c) T/3 sin(@ Jo cos-( 0) jesec() de Problem #2(a): Enter your answer symbolically, as in these examples Problem #2(b): Enter your answer symbolically, as in these examples Problem #2(c): Enter your answer symbolically, as in these examplesProblem #3: Which of the following represents the area of the region enclosed by the curves y = x and y =2x + 15 for -4 S x S 5? (A) [ (72 + 2x + 15 ) dax + [ (12- 2x -15) dox (B) [ (12-2x- 15) dx (9 [ (2 - 2x - 15 ) da + [ (-12 + 2x + 15 ) dx (D) [ (12- 2x- 15) da + [ (-72+ 2x + 15) da () [ (12 - 2x - 15) dax + [ (12 + 2x + 15 ) da+ [ (2-2x-15) da () [ (12 -2x -15 ) dx + [ (-12+ 2x + 15 ) dax (@) [ (2 -2x- 15) da + [ (-12 + 2x + 15) dox (n [(12- 2x - 15 ) do + [ (- 12 + 2x + 15 ) dac Problem # 3: Select V Just Save Submit Problem #3 for Grading Problem #3 Attempt # 1 Attempt #2 Attempt # 3 Your Answer Your Mark: Problem #4: Find the area of the region in the first quadrant that is enclosed by the curves x= 1, y= =x -32, and the x-axis. Problem #4: Enter your answer symbolically, as in these examples Just Save Submit Problem #4 for Grading Problem #4 |Attempt # 1 Attempt #2 Attempt # 3 Your Answer Your Mark: Problem #5: Find an integral which represents the volume of the solid obtained by rotating the region enclosed by the curves y = x and y = 2x + 15 about the x-axis. (4) [1(12 - 2x - 15 / dx B) [ that - (2 + 15)]d (0 [ 1 [(2x + 15)-14] da (G Lax -( 2x + 15)]da () [ x(x2 - 2x-15)- da Problem #5: Select VProblem #6: Find an integral which represents the volume of the solid obtained by rotating the region enclosed by the curves y = x and y = 8x about the line x = 8. (A) [ n[ 8 + ; ) - (8 + Vid (B J .[(8 +Vy>-(8+ ; >d (of *[(8+V)2-(8+;) ]d Problem #6: Select V Just Save Submit Problem #6 for Grading Problem #6 Attempt # 1 Attempt #2 Attempt #3 Your Answer: Your Mark: Problem #7: A chain lying on the ground is 13 ft long and weighs 110 lbs. How much work is required to raise one end of the chain to a height of 3ft? Problem #7: Enter your answer symbolically, as in these examples Just Save Submit Problem #7 for Grading Problem #7 Attempt #1 Attempt #2 Attempt #3 Your Answer: Your Mark: Problem #8: Suppose that the temperature of a cup of coffee t minutes after it is poured is given by T(t) = 23 + 76e-k, where k = 35- Find the average temperature of the coffee during the first 23 minutes after it is poured. Problem #8: Enter your answer symbolically, as in these examples Just Save Submit Problem #8 for Grading Problem #8 Attempt # 1 Attempt #2 Attempt # 3 Your Answer: Your Mark: Problem #9: Evaluate the following integrals. re fx dx (b) In x dx Problem #9(a): Enter your answer symbolically, as in these examples Enter your answer symbolically, Problem #9(b): as in these examples Just Save Submit Problem #9 for Grading